Ian and Luis had $817 altogether. After Ian spent
13 of his money and Luis spent
45 of his money, Ian was left with thrice as much money as Luis. How much money did Luis have at first?
| |
Ian |
Luis |
Total |
| Before |
3x3 =
9 u |
5x2 =
10 u |
$817 |
| Change |
- 1x3 =
- 3 u |
- 4x2 =
- 8 u |
|
| After |
2x3 =
6 u |
1x2 =
2 u |
|
Comparing Ian
and Luis in the end |
3x2 =
6 u |
1x2 =
2 u |
|
The amount that Ian had in the end is repeated. Make the amount that Ian had in the end the same. LCM of 2 and 3 is 6.
Total amount that Ian and Luis had at first
= 9 u + 10 u
= 19 u
19 u = 817
1 u = 817 ÷ 19 = 43
Amount that Luis had at first
= 10 u
= 10 x 43
= $430
Answer(s): $430
